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Finding the Fourth Proportional to 1,262.40, 1,883.46 and 1,123.80

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Solution

The fourth proportional to 1,262.40, 1,883.46 and 1,123.80 is: 1,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.40 : 1,883.46 = 1,123.80 : x
  2. Step 2: Convert to fraction form
    1,262.40/1,883.46 = 1,123.80/x
  3. Step 3: Cross multiply
    1,262.40x = 1,883.46 × 1,123.80
  4. Step 4: Simplify right side
    1,262.40x = 2,116,632.35
  5. Step 5: Solve for x
    x = 2,116,632.35/1,262.40
  6. Step 6: Final answer
    x = 1,676.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.